asked 70.9k views
3 votes
A certain arithmetic sequence has this explicit formula for the nth term:

an = 12 + (n- 1)(5)
The same sequence has this recursive formula:
an = an-1 +
What number belongs in the blank space in the recursive formula???

A certain arithmetic sequence has this explicit formula for the nth term: an = 12 + (n-example-1
asked
User Timmz
by
8.7k points

1 Answer

4 votes

The number that belongs in the blank space in the recursive formula is 5.

The number that belongs in the blank space in the recursive formula is 5.

The recursive formula for an arithmetic sequence is given by:

an = an-1 + d

In this case, we have:

an = an-1 + 5

So, the number that should be in the blank space is 5.

The probable question may be:

A certain arithmetic sequence has this explicit formula for the nth term:

an = 12 + (n-1) (5)

The same sequence has this recursive formula:

anan-1+

What number belongs in the blank space in the recursive formula?

A. 12

OB. 17

C. 5

D. 4

answered
User Eimerreis
by
8.2k points
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